103364208 has 160 divisors (see below), whose sum is σ = 315694080. Its totient is φ = 32313600.

The previous prime is 103364203. The next prime is 103364221. The reversal of 103364208 is 802463301.

It is a happy number.

103364208 is a `hidden beast` number, since 10 + 3 + 3 + 642 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103364201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003485 + ... + 1003587.

It is an arithmetic number, because the mean of its divisors is an integer number (1973088).

Almost surely, 2^103364208 is an apocalyptic number.

103364208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103364208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157847040).

103364208 is an abundant number, since it is smaller than the sum of its proper divisors (212329872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103364208 is a wasteful number, since it uses less digits than its factorization.

103364208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103364208 is about 10166.8189715368. The cubic root of 103364208 is about 469.3066704966.

The spelling of 103364208 in words is "one hundred three million, three hundred sixty-four thousand, two hundred eight".